Sub-Riemannian manifold

A Sub-Riemannian manifold is a triple (M,,g) where M is a manifold, is a distribution (that is, a linear subbundle of the tangent bundleMathworldPlanetmath TM of M), and g is a metric on induced by a fiber inner product on . The distribution is often referred to as the horizontal distribution.

Title Sub-Riemannian manifold
Canonical name SubRiemannianManifold
Date of creation 2013-03-22 13:58:52
Last modified on 2013-03-22 13:58:52
Owner RevBobo (4)
Last modified by RevBobo (4)
Numerical id 4
Author RevBobo (4)
Entry type Definition
Classification msc 53C17
Synonym Sub-Riemannian geometry